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[Short Division is when the divisor does not exceed 12.

RULE.

Consider how many times the divisor is contained i the first figure or figures of the dividend, put the resul. under, and carry as many tens to the next figure as there

are ones over.

Divide every figure in the same manner tuu the whole is finished.

Divisor. Dividend.

EXAMPLES.

2)113415 3)85494 4)59407 5)94379

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Contractions in Division.

When the divisor is sucn a number, that any two fig ures in the Table, being multiplied together will produce it, divide the given dividend by one of those figues; the quotient thence arising by the other; and the fast quotient will be the answer.

NOT The total remanider is found by multiplying the last emainder by the first divisor, and adding in the first remainder.

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Cut off as many figures from the right hand of the dividend as there are cyphers in the divisor, and these figures so cut off are the remainder; and the other figures of the dividend are the quotient.

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SUPPLEMENT TO MULTIPLICATION.

To multiply by a mixt number; that is a whole num Der joined with a fraction, as 84, 51, 61, &c.

RULE.

Multiply by the whole number, and take t,,, &c. of the Multiplicands and add it to the product.

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Questions to Exercise Multiplication and Division. 1. What will 93 tons of hay come to, at 14 dollars a

ton ?

Ans. $136. 2. If it takes $20 rods to make a mile, and every rod contains 5 yards; how many yards are there in a inile?

3. Sold a ship for 11516 dollars, and I what was my part of the money?

4. In 276 barrels of raisins, each 33 hundred weight?

Ans. 1760. owned of her; Ans. $8637, cwt. how many Ans. 966 cwt. 5. In 36 pieces of cloth, each piece containing 211 yards; how many yards in the whole? Ans. 873 yds. 6. What is the product of 161 multiplied by itself? Ans. 25921. 7. If a man spends 492 dollars a year, what is that per calendar month? Ans. $41. 8. A privateer of 65 men took a prize, which being equally divided among them, amounted to 1197. per man what is the value of the prize? Ans. £7735, 9 What number multiplied by 9, will make 225:

Ans. 25.

10. The quotient of a certain number is 457, and the

Ans. 3656

divisor 8; what is the dividend ?
11. what cost 9 yds. of cloth, at 3s. per yard?

Ans.

Wha

at8l. per head? Ans. £

13. What cost 144 lb. of Indigo, at 2 dols. 50 cts. or 250 cents per lb. Ans. $360.

14. Write down four thousand six hundred and seventeen, multiply it by twelve, divide the product by nine, and add 365 to the quotient, then from that sum subtract five thousand five hundred and twenty-one, and the remainder will be just 1000. Try it and see.

COMPOUND ADDITION,

Is the adding of several numbers together, having anfferent denominations, but of the same generic kind, as pounds, shillings and pence, &c. Tons, hundreds, quarters, &c.

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RULE.*

the numbers so that those of the same denom ination may stand directly under each other.

2. Add the first column or denomination together, as in whole numbers; then divide the sum by as many of the same denomination as make one of the next greater;' setting down the remainder under the column added, and carry the quotient to the next superior denomination, continuing the same to the last, which add, as in simple

addition.

1. STERLING MONEY,

Is the money of account in Great-Britain, and is reckoned in Pounds, Shillings, Pence and Farthings. See the Pence Tables.

*The reason of this rule is evident: For, addition of this money, as 1 in the pence is equal to 4 in the farthings; 1 in the shillings, to 12 in the pence; and 1 in the pounds, to 20 in the shillings; therefore carrying as directed, is the arranging the money, arising from each column, properly the scale of denominations; and this reasoning will hold ed in the addition of compound numbers whatever.

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